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Finding the Fourth Proportional to 948.86, 1,423.28 and 299.46

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Solution

The fourth proportional to 948.86, 1,423.28 and 299.46 is: 449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.86 : 1,423.28 = 299.46 : x
  2. Step 2: Convert to fraction form
    948.86/1,423.28 = 299.46/x
  3. Step 3: Cross multiply
    948.86x = 1,423.28 × 299.46
  4. Step 4: Simplify right side
    948.86x = 426,216.18
  5. Step 5: Solve for x
    x = 426,216.18/948.86
  6. Step 6: Final answer
    x = 449.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.